WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

doi:10.1016/S0252-9602(16)30098-4

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1662-1682.doi: 10.1016/S0252-9602(16)30098-4

WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

Mohammed Salah M'HAMDI¹, Chaouki AOUITI¹, Abderrahmane TOUATI¹, Adel M. ALIMI², Vaclav SNASEL³

1. Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta, BP W, 7021 Zarzouna, Bizerta, Tunisia;
2. REGIM-lab: Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax (ENIS), BP 1173, Sfax 3038, Tunisia;
3. VSB Technical University of Ostrava, Czech Republic

收稿日期:2015-06-10 修回日期:2016-01-26 出版日期:2016-12-25 发布日期:2016-12-25
作者简介:Mohammed Salah M'HAMDI,E-mail:mohammedsalah.mhamdi@yahoo.com;Chaouki AOUITI,E-mail:chaouki.aouiti@fsb.rnu.tn;Abderrahmane TOUATI,E-mail:Abder.Touati@fsb.rnu.tn;Adel M. ALIMI,E-mail:adel.alimi@ieee.org;Vaclav SNASEL,E-mail:vaclav.snasel@vsb.cz

WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

Mohammed Salah M'HAMDI¹, Chaouki AOUITI¹, Abderrahmane TOUATI¹, Adel M. ALIMI², Vaclav SNASEL³

1. Department of Mathematics, University of Carthage, Faculty of Sciences of Bizerta, BP W, 7021 Zarzouna, Bizerta, Tunisia;
2. REGIM-lab: Research Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax (ENIS), BP 1173, Sfax 3038, Tunisia;
3. VSB Technical University of Ostrava, Czech Republic

Received:2015-06-10 Revised:2016-01-26 Online:2016-12-25 Published:2016-12-25

摘要/Abstract

摘要：

In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.

关键词: weighted pseudo almost-periodic solution, shunting inhibitory cellular neural networks, mixed delays, global exponential stability

Abstract:

Key words: weighted pseudo almost-periodic solution, shunting inhibitory cellular neural networks, mixed delays, global exponential stability

中图分类号:

34K05

Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL. WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS[J]. 数学物理学报(英文版), 2016, 36(6): 1662-1682.

Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL. WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1662-1682.

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WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

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